EXTREME VALUE ANALYSIS OF SHIP VIBRATION,

Abstract

This report presents a statistical method for establishing tolerance limits (vibration levels) for ship vibration. The method is distribution free. That is, the distribution is not required. The only requirements are, random data and a continuous frequency function. Theory is presented which establishes a distribution function that gives the probability that a proportion, such as 95 percent or more, of the population will be included between the extreme values of the sample. The theory is used in this analysis to determine limits for samples of longitudinal vibration recorded at the stern of a submarine for conditions existing during straight-course, steady-speed runs. The runs were made at different shaft rpm, and one sample was taken of the vibration during each run. The samples were assumed to have come from different populations. Probability limits are plotted for the 95-percent fraction of each population represented by the samples. These limits are compared with corresponding limits established by normal theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0606195

Entities

People

  • Virgil S. Hardy

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Distribution Functions
  • Doppler Effect
  • Frequency
  • Frequency Shift
  • Mathematics
  • Probability
  • Ships
  • Submarines
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Marine Hydrodynamics
  • Regression Analysis.
  • Structural Dynamics.